Skip to content
Description
By: Daniel Rosiak
An approachable introduction to elementary sheaf theory and its applications beyond pure math.
Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more.
With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms.
Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.
An approachable introduction to elementary sheaf theory and its applications beyond pure math.
Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more.
With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms.
Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.
You may also like
Top Trending
Dog Man 14: Dog Man: Big Jim Believes: A Graphic Novel (Dog Man #14)
Sale priceHK$85.00
Regular priceHK$150.00
In stock
Press Start! #17 The Super Jump Between Worlds! (Branches)
Sale priceHK$55.00
Regular priceHK$98.00
In stock
Anzu and the Realm of Darkness: A Graphic Novel
Sale priceFrom HK$85.00
Regular priceHK$140.00
In stock
The Midnight Heist (Geronimo Stilton and The Kingdom of Fantasy #17)
Sale priceHK$128.00
Regular priceHK$200.00
In stock
Cat Kid Comic Club (正版) #04 Collaborations (Dav Pilkey)
Sale priceFrom HK$65.00
Regular priceHK$90.00
In stock
Maisy's (正版) Holiday Picture Book Bag Collection (Lucy Cousins)
Sale priceHK$185.00
Regular priceHK$504.00
In stock
